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38625900 = 22352199647
BaseRepresentation
bin1001001101011…
…0001001101100
32200200101202220
42103112021230
534342012100
63455515340
7646212645
oct223261154
980611686
1038625900
111a892235
1210b28b50
138005281
1451b66cc
1535ceaa0
hex24d626c

38625900 has 72 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 10232640.

The previous prime is 38625893. The next prime is 38625913. The reversal of 38625900 is 952683.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59377 + ... + 60023.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 238625900 is an apocalyptic number.

38625900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38625900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

38625900 is an abundant number, since it is smaller than the sum of its proper divisors (73866900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38625900 is a wasteful number, since it uses less digits than its factorization.

38625900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 38625900 is about 6214.9738535250. The cubic root of 38625900 is about 338.0333405483.

The spelling of 38625900 in words is "thirty-eight million, six hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 597 647 796 995 1194 1294 1941 1990 2388 2588 2985 3235 3882 3980 4975 5970 6470 7764 9705 9950 11940 12940 14925 16175 19410 19900 29850 32350 38820 48525 59700 64700 97050 128753 194100 257506 386259 515012 643765 772518 1287530 1545036 1931295 2575060 3218825 3862590 6437650 7725180 9656475 12875300 19312950 38625900